The Topology of Spaces of Polygons

FROMM, VIKTOR (2011) The Topology of Spaces of Polygons. Doctoral thesis, Durham University.
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We study the topology of spaces of polygons in Euclidean space, viewed up to translations. The main results concern the structure of the homology groups and of the cohomology rings of the spaces. In particular, it is shown that the spaces are classified by their cohomology rings. A principal tool used in the proofs is a new lacunary principle for Morse-Bott functions, which may be of independent interest. Several applications are discussed.

Item Type Thesis (Doctoral)
Uncontrolled Keywords Polygon Space, Linkage, Lacunary Principle, Morse-Bott Function, Cohomology
Divisions Faculty of Science > Mathematical Sciences, Department of
Date Deposited 12 Oct 2011 09:54
Last Modified 06 Apr 2026 00:08

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